2009; Physical and Mathematical Sciences, 43(2 (219): 38–42
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INFINITE ORDER AUTOMORPHISMS OF FREE PERIODIC GROUPS OF SUFFICIENTLY LARGE EXPONENT

A. S. Pahlevanyan*

Received: 2025-02-28 · Published: 2009-06-26

© 2009 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
INFINITE ORDER AUTOMORPHISMS OF FREE PERIODIC GROUPS OF SUFFICIENTLY LARGE EXPONENT
Author
A. S. Pahlevanyan
Published
2009-06-26
Licence
Creative Commons Attribution 4.0 International

Abstract

In this paper we construct infinite order automorphisms of free periodic groups B (m, n)  of sufficiently large period n with m ≥ 2 generators. From the obtained results it follows that the quotient group of the group       Aut(B (m, n)) with respect to normal subgroup of inner automorphisms is infinite.
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